Nate Robinson put together a stellar postseason run that kept the Bulls scratching and clawing to the very end in the second round of the playoffs, despite suffering a rash of injuries to several key players.

It was excellent timing for Robinson, considering the fact that he’s an unrestricted free agent this summer.

There will be plenty of options for Robinson to choose from, and it isn’t clear if his former Knicks team would be one of them. The point guard spent his first four-plus NBA seasons in New York, and wouldn’t rule out a return to play in front of the Madison Square Garden faithful once again.

Nate Robinson, who will be an unrestricted free agent come July 1, would be open to returning to the Knicks, according to his agent, Aaron Goodwin.

“Nate’s first thought would be to remain with the Bulls, but if the Knicks’ opportunity presented itself, I am sure he would appreciate an opportunity to play in New York again,” he told ESPNNewYork.com.

This is only really of interest because Robinson began his career in New York — obviously, no free agent in their right mind would rule out playing for any team that came up with the right dollar figure for the right number of years on a new contract. But let’s explore it nonetheless.

With a healthy Derrick Rose and Kirk Hinrich, not only are there few minutes available for Robinson in the rotation, but his high-octane style of play was something that was forced upon head coach Tom Thibodeau out of necessity, not out of preference.

As for the Knicks, they’re a team that could certainly benefit from a guard like Robinson who is able to get into the paint at will in order to create shots for himself or his teammates. New York’s offense stagnated at times during the postseason once the shooting percentages from the outside fell below their regular season levels, and J.R. Smith and Carmelo Anthony are both more effective when they’re getting clean looks after there has been a good amount of ball movement in the team’s half-court sets.

It’s a nice idea, and Robinson could be a fit back in New York in theory. But the thought of Robinson and Smith on the same team, let alone on the court at the same time might be too much for Mike Woodson, or any sane head coach to be willing to sign up for.